15212828160 has 320 divisors, whose sum is σ = 54618379200. Its totient is φ = 4013162496.

The previous prime is 15212828159. The next prime is 15212828167. The reversal of 15212828160 is 6182821251.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15212828167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6703506 + ... + 6705774.

It is an arithmetic number, because the mean of its divisors is an integer number (170682435).

Almost surely, 2^15212828160 is an apocalyptic number.

15212828160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15212828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27309189600).

15212828160 is an abundant number, since it is smaller than the sum of its proper divisors (39405551040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15212828160 is an equidigital number, since it uses as much as digits as its factorization.

15212828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 15212828160 in words is "fifteen billion, two hundred twelve million, eight hundred twenty-eight thousand, one hundred sixty".